# Points The graph below is the graph of y = f 0 x ,...

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Winter 2012 Math 10B Final Exam vA University of California, San Diego Department of Mathematics Instructions 1. Write your Name , PID , and Section on the front of your Blue Book. 2. No calculators or other electronic devices are allowed during this exam. 3. You may use one page of notes, but no books or other assistance during this exam. 4. Read each question carefully, and answer each question completely. 5. Write your solutions clearly in your Blue Book (a) Carefully indicate the number and letter of each question. (b) Present your answers in the same order they appear in the exam. (c) Start each question on a new page. 6. Show all of your work; no credit will be given for unsupported answers. 1. (10 points) The graph below is the graph of y = f 0 ( x ), the derivative of the function f . 1 2 3 4 5 6 y f ¢ H x L A B C The area of region A is 6, the area of region B is 4, and the area of region C is 1. (a) If f (1) = 3, what is f (6)? (b) Find the absolute maximum value of f ( x ) on the interval [1 , 6] and indicate at which x value it occurs.
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